Upon downloading Zotero includes the following 10 styles.
American Political Science Association
American Psychological Association
American Sociological Association (Author-Date)
Chicago Manual of Style (Author-Date format)
Chicago Manual of Style (Full Note with Bibliography)
Chicago Manual of Style (Note with Bibliography)
Chicago Manual of Style (Note without Bibliography)
Harvard Reference format 1 (Author-Date)
IEEE
Modern Humanities Research Association (Note with Bibliography)
Modern Humanities Research Association (Note without Bibliography)
Modern Language Association
National Library of Medicine
Nature Journal
American Chemical Society
American Geophysical Union general format
American Medical Association
American Psychological Association
Analytica Chimica Acta
Analytical Chemistry
Annals of the Association of American Geographers
Antonie van Leeuwenhoek Journal
Art History Journal
Bioinformatics Journal
Bluebook Law Review
Cell Journal
Centarus
Council of Science Editors
FEMS based Journal
Genes and Development Journal
Genome Biology Journal
Harvard Reference format 2
Harvard Reference format 3
History and Theory Journal
History Journal
INTER. Romanian Institute for Inter-Orthodox, Inter-Confessional and Inter-Religious Studies
ISO-690 (Author-Date format)
Journal of Bacteriology
Journal of Biological Chemistry
Metabolic Engineering Journal
Meteoritics & Planetary Science Journal
Neuroreport
Nucleic Acids Research Journal
Open University A251 format
Open University Harvard Reference
Oxford Art Journal
PNAS Journal
Public Library of Science Journal
RNA Journal
Romanian Humanities
Royal Society of Chemistry general format
Science journal
Urban Studies
Water Research
Yeast Journal
Because Zotero relies on the flexible and open-source Citation Style Language (CSL) to generate its bibliographic output, it can easily support any imaginable publication style.